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  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher-id">Oalib</journal-id>
      <journal-title-group>
        <journal-title>Open Access Library Journal</journal-title>
      </journal-title-group>
      <issn pub-type="epub">2333-9721</issn>
      <issn pub-type="ppub">2333-9705</issn>
      <publisher>
        <publisher-name>Scientific Research Publishing</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.4236/oalib.1114876</article-id>
      <article-id pub-id-type="publisher-id">Oalib-150242</article-id>
      <article-categories>
        <subj-group>
          <subject>Article</subject>
        </subj-group>
        <subj-group>
          <subject>Biomedical</subject>
          <subject>Life Sciences</subject>
          <subject>Business</subject>
          <subject>Economics</subject>
          <subject>Chemistry</subject>
          <subject>Materials Science</subject>
          <subject>Computer Science</subject>
          <subject>Communications</subject>
          <subject>Earth</subject>
          <subject>Environmental Sciences</subject>
          <subject>Engineering</subject>
          <subject>Medicine</subject>
          <subject>Healthcare</subject>
          <subject>Physics</subject>
          <subject>Mathematics</subject>
          <subject>Social Sciences</subject>
          <subject>Humanities</subject>
        </subj-group>
      </article-categories>
      <title-group>
        <article-title>Localized Surface Plasmon Resonance, SERS, and Density of State Characterization of Phenols for Wastewater Remediation —A DFT Approach</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name name-style="western">
            <surname>Waswa</surname>
            <given-names>Michael Nakitare</given-names>
          </name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author" corresp="yes">
          <name name-style="western">
            <surname>Juma</surname>
            <given-names>Moses Wabwile</given-names>
          </name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <name name-style="western">
            <surname>Mukhekhe</surname>
            <given-names>Samwel Muyiyi</given-names>
          </name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
      </contrib-group>
      <aff id="aff1"><label>1</label> Department of Science, Technology, and Engineering, Kibabii University, Bungoma, Kenya </aff>
      <author-notes>
        <fn fn-type="conflict" id="fn-conflict">
          <p>The authors declare no conflicts of interest.</p>
        </fn>
      </author-notes>
      <pub-date pub-type="epub">
        <day>28</day>
        <month>02</month>
        <year>2026</year>
      </pub-date>
      <pub-date pub-type="collection">
        <month>02</month>
        <year>2026</year>
      </pub-date>
      <volume>13</volume>
      <issue>03</issue>
      <fpage>1</fpage>
      <lpage>14</lpage>
      <history>
        <date date-type="received">
          <day>14</day>
          <month>01</month>
          <year>2026</year>
        </date>
        <date date-type="accepted">
          <day>15</day>
          <month>03</month>
          <year>2026</year>
        </date>
        <date date-type="published">
          <day>18</day>
          <month>03</month>
          <year>2026</year>
        </date>
      </history>
      <permissions>
        <copyright-statement>© 2026 by the authors and Scientific Research Publishing Inc.</copyright-statement>
        <copyright-year>2026</copyright-year>
        <license license-type="open-access">
          <license-p> This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license ( <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link> ). </license-p>
        </license>
      </permissions>
      <self-uri content-type="doi" xlink:href="https://doi.org/10.4236/oalib.1114876">https://doi.org/10.4236/oalib.1114876</self-uri>
      <abstract>
        <p>Phenolic compounds pose a significant risk to the quality of water since they often remain persistent across the water supply chain. For the urban and peri-urban populations that leverage traditional water treatment approaches like boiling and filtration, phenols remain a key challenge since they are persistent micropollutants. In this work, the removal of these compounds has been demonstrated with the help of density functional theory, which, unlike experimental approaches, is less laborious and affordable. Localized surface plasmon resonance (LSPR), surface-enhanced Raman (SERS), and density of states were used to achieve label-free detection of the said molecule. The shifts in the plasmon band, as well as the Raman scatter bands, can be measured against different concentrations for trace detection of phenols and other contaminants. Raman scatter bands at 1120 cm<sup>−</sup><sup>1</sup>, 1192 cm<sup>−</sup><sup>1</sup>, 1345 cm<sup>−</sup><sup>1</sup>, and 1561 cm<sup>−</sup><sup>1</sup> emerged as key marker bands for spectral characterization of phenol molecules. Spectral shifts and intensity changes in such bands can be monitored for effective environmental remediation. Similarly, changes in band gap energy were monitored with the help of the density of state (DOS), and the charge distribution studies were carried out with the help of Mulliken analysis, demonstrating that there is a general reduction in the band gap after adsorption, with oxygen being the most electronegative element. Such changes in band gap and electronegativity studies can be used in the future for sensing of environmental contaminants.</p>
      </abstract>
      <kwd-group kwd-group-type="author-generated" xml:lang="en">
        <kwd>Phenols</kwd>
        <kwd>Density of State</kwd>
        <kwd>SERS</kwd>
        <kwd>Density Functional Theory</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec1">
      <title>1. Introduction</title>
      <p>Access to clean water is a basic human right, but contamination from industrial waste, agricultural runoff, and natural pollutants presents serious risks to the natural ecosystems. Water treatment is vital because many areas, especially rural and suburban regions, lack centralized water infrastructure and depend on private wells or small systems that must be protected against pollutants, as stated by [<xref ref-type="bibr" rid="B1">1</xref>]. In rural setups, traditional water treatment methods include boiling, filtration, and solar disinfection, among others [<xref ref-type="bibr" rid="B2">2</xref>]. While the point-of-use methods are workable, especially for low-income households, they struggle with poor removal of chemical pollutants like heavy metals [<xref ref-type="bibr" rid="B3">3</xref>]. Consequently, such methods make it challenging to achieve water quality for the struggling populations [<xref ref-type="bibr" rid="B4">4</xref>], especially for persistent contaminants across the water supply chain. </p>
      <p>Phenolic pollutants from agricultural activities pose a threat to water safety, especially for the rural population. These persistent micropollutants often find their way to drinking water sources, resulting in adverse health implications [<xref ref-type="bibr" rid="B5">5</xref>]. Using the context of Kenya’s peri-urban set up, [<xref ref-type="bibr" rid="B6">6</xref>] noted that phenolic exotoxins are often present in raw river water, posing a significant threat to roadside food sold by vendors and hawkers who use nearby river water to prepare such food. The Kenya Water and Sanitation Regulatory Board (WASREB) reports that the acceptable safe quantities of Phenolic compounds in drinking and bottled water should be 0.002 Mg/L (Water Services Regulatory Board.gov). However, [<xref ref-type="bibr" rid="B6">6</xref>] reported that the level of phenolic compounds in sampled rivers and bottled water was way above the recommended limits. Higher phenolic compounds have also been reported in water bodies around grazing areas in the rural parts of South Africa, suggesting alternative treatment methods that guarantee water quality [<xref ref-type="bibr" rid="B7">7</xref>]. </p>
      <p>Conventional Raman and surface-enhanced Raman spectroscopy (SERS) have demonstrated notable utility in spectroscopy-based water treatment approaches. SERS technology works based on its single-molecule-level detection capability and the ability to achieve molecular fingerprint recognition. [<xref ref-type="bibr" rid="B8">8</xref>] Demonstrated the technology’s synergistic effects of electrochemical and chemical enhancement, making the substrates reliable for single-molecule detection. [<xref ref-type="bibr" rid="B9">9</xref>] Achieved ultra-trace detection of pesticide residues, mycotoxins, and heavy metals, giving provision for on-site detection capabilities. Signal enhancement and spectral shifts have been used previously by [<xref ref-type="bibr" rid="B10">10</xref>] as key markers for environmental monitoring, including in water quality analysis. LSPR is often achieved with the use of nanomaterials. </p>
      <p>Coupling nanotechnology and conventional Raman has emerged as a promising approach for enhancing water treatment processes, including the fabrication of water membranes for purification [<xref ref-type="bibr" rid="B11">11</xref>]. For instance, silver nanoparticles have previously been used in household water treatment systems as integrated filters and as effective antimicrobial agents that can kill bacteria, viruses, and fungi [<xref ref-type="bibr" rid="B12">12</xref>]. The nanoparticles are often leveraged due to their multifunctional properties, including excellent electrical conductivity, chemical stability, antibacterial effects, and optical characteristics [<xref ref-type="bibr" rid="B13">13</xref>]. These nanoparticles have been applied to water remediation as antibacterial agents, surface modifiers to increase adsorption capacities, sensors for detecting contaminants, and photocatalysts for degrading organic pollutants, as mentioned by [<xref ref-type="bibr" rid="B14">14</xref>]. The unique properties of silver nanoparticles can be tuned by controlling their size, morphology, and surface chemistry, making them highly effective in targeting water contaminants and microorganisms [<xref ref-type="bibr" rid="B15">15</xref>]. Besides, [<xref ref-type="bibr" rid="B11">11</xref>] note that silver nanoparticles are preferred in water treatment due to their unique optical, electrical, and magnetic properties that can be used in developing biosensor materials, composite fibers, and other electronic components. </p>
      <p>Adsorption is widely used to remove contaminants from water systems since such processes are simple to design without harming byproducts [<xref ref-type="bibr" rid="B16">16</xref>]. Silver nanoparticles have specific characteristics, such as a high surface area and reactivity [<xref ref-type="bibr" rid="B17">17</xref>], surface plasmon resonance [<xref ref-type="bibr" rid="B18">18</xref>], surface-enhanced Raman scattering (SERS) [<xref ref-type="bibr" rid="B19">19</xref>] which are leveraged to remove phenolic compounds from water systems through adsorption. AgNPs have a small size that can exhibit a high surface area to volume ratio, which enhances their reactivity with phenolic compounds. Secondly, the nanoparticles show properties such as a strong surface plasmon resonance that varies from their bulk material, an adsorption property that can be used to monitor phenols and their derivatives. Lastly, the AgNPs help to amplify Raman signals of the adsorbed material, facilitating the detection and monitoring of phenols and their derivatives. Consequently, understanding these properties provides a clear roadmap for the adsorption of the nanomaterial in phenolic decontamination. </p>
      <p>Density functional theory (DFT) has previously been used as an alternative approach to the laborious and costly laboratory procedures that have often been used to study surface area and reactivity, localized surface plasmon resonance (LSPR), and surface-enhanced Raman scattering (SERS) properties of AgNPs, applicable in adsorption studies. In studying silver nanoclusters on phenols, DFT offers a detailed understanding of molecular interactions and electronic properties at the atomic level, which are difficult to explore experimentally [<xref ref-type="bibr" rid="B10">10</xref>]. By calculating electronic density, molecular orbitals, energy states, and charge transfer mechanisms, DFT helps clarify how silver clusters interact with phenolic compounds and how these interactions affect optoelectronic properties relevant for photocatalytic degradation and adsorption [<xref ref-type="bibr" rid="B20">20</xref>]. These insights guide the development of more effective silver-based nanomaterials for sustainable wastewater treatment. Consequently, this work will leverage DFT as a less costly and time-conscious technique that helps to study the LSPR, SERS, and surface area and reactivity property of AgNPs, applicable in the adsorption of phenolic compounds towards water treatment applications. </p>
    </sec>
    <sec id="sec2">
      <title>2. Computational Details</title>
      <p>The atomic structures of silver nano clusters were imported as a .csv file from the Quantum Cluster Database. These structures were visualized using Gauss View software. The Gaussian 09W program package was used for DFT calculations at the Becke’s three-parameter functional and Lee-Yang-Parr hybrid functional (B3LYP) level of theory. The LANL2DZ basis set was applied for silver atoms, with the 6-31G++ (d, p) basis set for other atoms. Calculations were performed for ground state geometry optimization in air. To obtain the electron density distribution, molecular orbitals, and energy eigenvalues, a B3LYP hybrid functional was employed. Raman frequencies were calculated on the optimized structure using the same basis set and level of theory, with the Gaussian 09 program. To determine energy, oscillator strength, and wavelength, TD-DFT calculations were conducted. Charge transfer analysis involved examining molecular orbitals and electron density difference maps using Natural Bond Orbital (NBO) or Mulliken population analysis to quantify electron transfer and interaction strength. PDOS was used to analyze contributions from Ag and phenol molecules. </p>
    </sec>
    <sec id="sec3">
      <title>3. Results and Discussions</title>
      <sec id="sec3dot1">
        <title>3.1. Geometry Optimization</title>
        <p>Ag18, phenols, and Ag18-phenol complex moieties were optimized in air at the B3LYP level of theory using Gaussian 09 software. Ag-18 was preferred in this work due to its molecule-like properties. Previously, [<xref ref-type="bibr" rid="B21">21</xref>] reported that Ag-18 is preferred due to its unique bonding properties within the metal core. The specific and atomic level structure of the Ag-18 also provides a significantly higher antimicrobial efficiency and better stability as compared to other nanoclusters and conventional silver nanoparticles. Using mass spectrometry, [<xref ref-type="bibr" rid="B22">22</xref>] demonstrated that Ag-18’s atom-precise design (&lt;2 nm) yields superior geometric rigidity, with minimal core fragmentation. <xref ref-type="fig" rid="fig1">Figure 1</xref><xref ref-type="fig" rid="fig1">Figure 1</xref> shows the optimized structure of the Ag-18 nanocluster and that of phenols. As indicated in <xref ref-type="fig" rid="fig1">Figure 1</xref><xref ref-type="fig" rid="fig1">Figure 1</xref>, phenols have a single hydroxyl group with an oxygen atom that is electronegative and which will play a key role in the adsorption process.</p>
        <fig id="fig1">
          <label>Figure 1</label>
          <graphic xlink:href="https://html.scirp.org/file/1114876-rId13.jpeg?20260318023948" />
        </fig>
        <p><xref ref-type="fig" rid="fig1">Figure 1</xref><bold>.</bold> Optimized structure of Ag-18 nanocluster (left) and phenols (right).</p>
        <p>As shown in <xref ref-type="fig" rid="fig1">Figure 1</xref><xref ref-type="fig" rid="fig1">Figure 1</xref>, Phenols have a hydroxyl (OH) group that is directly attached to the benzene ring, replacing one of the hydrogen atoms. In this work, the 3D molecule was directly imported from PubChem before being optimized using Gaussian 09. </p>
      </sec>
      <sec id="sec3dot2">
        <title>3.2. Raman and SERS Spectra of Phenols</title>
        <p>Raman and SERS spectral characterization of phenols was carried out to ascertain the possible changes in band position after phenols are adsorbed on silver nanoparticles. In the Gauss View window, phenols were allowed to embed on the metallic nanoclusters with the oxygen atom of phenols being the target atom in the attachment, as shown in <xref ref-type="fig" rid="fig2">Figure 2</xref><xref ref-type="fig" rid="fig2">Figure 2</xref>. Oxygen has previously been reported by [<xref ref-type="bibr" rid="B23">23</xref>] to be the most electronegative and, as such, would help to form a stronger bond during adsorption.</p>
        <fig id="fig2">
          <label>Figure 2</label>
          <graphic xlink:href="https://html.scirp.org/file/1114876-rId14.jpeg?20260318023948" />
        </fig>
        <p><xref ref-type="fig" rid="fig2">Figure 2</xref><bold>.</bold> Silver nanoclusters embedded on phenolic compound in Gauss view.</p>
        <fig id="fig3">
          <label>Figure 3</label>
          <graphic xlink:href="https://html.scirp.org/file/1114876-rId15.jpeg?20260318023948" />
        </fig>
        <p><xref ref-type="fig" rid="fig3">Figure 3</xref><bold>.</bold> Simulated Raman and SERS spectra of phenols (inset: spectra of silver NPs).</p>
        <p>The results depicted in <xref ref-type="fig" rid="fig3">Figure 3</xref><xref ref-type="fig" rid="fig3">Figure 3</xref> show that phenols exhibit very strong Raman bands within the active spectral window between 600 cm<sup>−</sup><sup>1</sup> and 1700 cm<sup>−</sup><sup>1</sup> due to the symmetric stretching mode of the aromatic ring (C = C). Some of the bands between 1100 cm<sup>−</sup><sup>1</sup> and 1300 cm<sup>−</sup><sup>1</sup> tend to be isoenergetic, with almost identical spectral features. The simulated spectra of phenols were found to be similar to those reported by other authors for both simulated and experimental data. For instance, [<xref ref-type="bibr" rid="B24">24</xref>] noted that two ring deformation modes around 1500 - 1600 cm<sup>−</sup><sup>1</sup> offer a potential route in gaining information about phenolic compounds in the macroenvironment. Density functional theory predictions given by [<xref ref-type="bibr" rid="B25">25</xref>] also showed that phenols have predominant Raman scatter bands at 850 cm<sup>−</sup><sup>1</sup>, 1120 cm<sup>−</sup><sup>1</sup>, 1291 cm<sup>−</sup><sup>1</sup>, and 1560 cm<sup>−</sup><sup>1</sup> assigned to C = C and C = O symmetric vibrational bonds using vibrational energy distribution (VEDA). </p>
        <p>Adsorbing phenols on silver nanoparticles had notable implications on the phenols’ Raman bands. As noted in <xref ref-type="fig" rid="fig2">Figure 2</xref><xref ref-type="fig" rid="fig2">Figure 2</xref>, some of the bands reported higher signal intensity after adsorbing the molecule on silver nanoparticles. The peaks at 1120 cm<sup>−</sup><sup>1</sup>, 1291 cm<sup>−</sup><sup>1</sup>, and 1345 cm<sup>−</sup><sup>1</sup> reported an almost similar threefold enhancement factor. [<xref ref-type="bibr" rid="B26">26</xref>] Defines the enhancement factor as the key parameter for the assessment of the substrate performance. In this case, the signal enhancement factor was given as the ratio of the enhanced signal to the non-enhanced signal for a specific Raman scatter band. The enhancement factor directly quantifies the ability of silver nanoparticles as a substrate that can amplify phenol molecule signals for trace-level contaminant detection [<xref ref-type="bibr" rid="B27">27</xref>]. </p>
        <p>The other observation made from <xref ref-type="fig" rid="fig2">Figure 2</xref><xref ref-type="fig" rid="fig2">Figure 2</xref> is the shift in some of the Raman scatter bands. The bands that reported a red shift after phenols are adsorbed on the silver nanoparticles include 1120 cm<sup>−</sup><sup>1</sup>, 1291 cm<sup>−</sup><sup>1</sup>, 1561 cm<sup>−</sup><sup>1</sup>, and 1669 cm<sup>−</sup><sup>1</sup>. All these shifts were characteristic of the C = C and C = O stretching vibrations, while 1345 cm<sup>−</sup><sup>1</sup> (C-O breathing vibrational mode) had a slight blue shift after adsorption. Because these modes are structurally specific, even slight band position changes can indicate that phenols are present and interacting with their microenvironment in water [<xref ref-type="bibr" rid="B28">28</xref>]. [<xref ref-type="bibr" rid="B29">29</xref>] Also argues that tracking these shifts as a function of time or concentration enables early detection and even speciation of phenolic contaminants. </p>
      </sec>
      <sec id="sec3dot3">
        <title>3.3. Localized Surface Plasmon Resonance</title>
        <p>Silver nanoparticles were used both as substrates (in SERS) for signal enhancement and spectral shifts characterization, and as nanostructures for localized surface plasmon resonance sensing of phenols. The plasmon band of silver nanoparticles presents a strong optical effect for collective oscillations, such that by monitoring the LSPR peak shift (change in wavelength) caused by the binding material, it is possible to achieve a label-free detection of the analyte. In this work, the high refractive index sensitivity of silver nanoparticles was monitored by adsorbing phenols on silver nanoparticles and then measuring the change in the LSPR position using simulated absorbance spectra, as shown in <xref ref-type="fig" rid="fig4">Figure 4</xref><xref ref-type="fig" rid="fig4">Figure 4</xref>.</p>
        <fig id="fig4">
          <label>Figure 4</label>
          <graphic xlink:href="https://html.scirp.org/file/1114876-rId16.jpeg?20260318023948" />
        </fig>
        <p><xref ref-type="fig" rid="fig4">Figure 4</xref><bold>.</bold> UV-VIS spectra of Silver Nanocluster (Ag18) and phenols/AgNCs complex. Inset is the absorbance spectra of phenols.</p>
        <p>As shown in <xref ref-type="fig" rid="fig4">Figure 4</xref><xref ref-type="fig" rid="fig4">Figure 4</xref>, phenols have two absorbance bands at 270 nm and 275 nm. The simulated band was similar to what has been reported by other scholars, such as [<xref ref-type="bibr" rid="B30">30</xref>]-[<xref ref-type="bibr" rid="B32">32</xref>]. Therefore, the UV-VIS calculations implemented using DFT reproduced the experimental results by almost 100% as reported by other scholars. Secondly, the absorbance band of silver nanoclusters was 462 nm, which is almost similar to what was reported by other scholars. [<xref ref-type="bibr" rid="B33">33</xref>] Reported the plasmon band at 450 nm using an experimental procedure, while [<xref ref-type="bibr" rid="B34">34</xref>] used DFT and estimated the absorbance band of silver nanoparticles to be 426 nm. The deviations in the absorbance values reported for this work could be attributed to the differences in the number of atoms used in the nanoclusters. </p>
        <p>As noted in <xref ref-type="fig" rid="fig4">Figure 4</xref><xref ref-type="fig" rid="fig4">Figure 4</xref>, there is a slight redshift in the localized surface plasmon resonance band of the silver nanocluster from 462 nm to 478 nm. The +16 nm change is significant in environmental monitoring applications, as explained by [<xref ref-type="bibr" rid="B35">35</xref>]. According to [<xref ref-type="bibr" rid="B36">36</xref>], silver nanoparticles are more sensitive to changes in both the local and bulk environment. Introducing phenols to silver nanoclusters changes the refractive index of the local environment, a move that allows label-free trace and ultra-trace detection of phenols and other contaminants in the environment. The results reported in <xref ref-type="fig" rid="fig4">Figure 4</xref><xref ref-type="fig" rid="fig4">Figure 4</xref> show that silver nanoparticles are very sensitive to any changes in the optical properties of the surrounding medium, like the adsorption of the target analyte (phenols) on the nanomaterials. Therefore, the silver nanoparticles are important candidates for monitoring phenols within the environment.</p>
      </sec>
      <sec id="sec3dot4">
        <title>3.4. Density of State</title>
        <p>In this part, Density functional theory was employed as a synergistic approach that provides a molecular-level understanding of the electrical and optical properties of silver nanoclusters when adsorbed with phenols. The focus was on understanding the adsorption sites and the electron transfer, both of which are key in elucidating the adsorption process of phenol removal from water. [<xref ref-type="bibr" rid="B37">37</xref>] Leveraged the density of state, which reflects the density of kinetic energy, to ascertain the confinement and scattering of charge. Density of states (DOS) was used to describe how many quantum states are available at each energy in a system, and it is a central bridge between electronic structure, spectroscopy, and adsorption phenomena. DOS was evaluated before (<xref ref-type="fig" rid="fig5">Figure 5</xref><xref ref-type="fig" rid="fig5">Figure 5</xref>) and after adsorption (<xref ref-type="fig" rid="fig6">Figure 6</xref><xref ref-type="fig" rid="fig6">Figure 6</xref>) to ascertain changes in the band gap energy, which is also an important parameter in biosensing applications.</p>
        <fig id="fig5">
          <label>Figure 5</label>
          <graphic xlink:href="https://html.scirp.org/file/1114876-rId17.jpeg?20260318023948" />
        </fig>
        <p><xref ref-type="fig" rid="fig5">Figure 5</xref><bold>.</bold> Density of state spectra of phenols.</p>
        <fig id="fig6">
          <label>Figure 6</label>
          <graphic xlink:href="https://html.scirp.org/file/1114876-rId18.jpeg?20260318023948" />
        </fig>
        <p><xref ref-type="fig" rid="fig6">Figure 6</xref><bold>.</bold> Density of state spectra of phenols adsorbed on AgNPs.</p>
        <p>As shown in <xref ref-type="fig" rid="fig6">Figure 6</xref><xref ref-type="fig" rid="fig6">Figure 6</xref>, there is a general reduction in the band gap energy after phenols are adsorbed on silver nanoparticles. The band gap reduced from approximately 7 eV to less than 2 eV. [<xref ref-type="bibr" rid="B38">38</xref>] Asserts that a reduction in the band gap after adsorption enhances a material’s light absorption range and charge-carrier generation, enabling more sensitive optical detection of environmental analytes, such as water pollutants, through spectroscopic changes. In sensing applications, the narrowing of the band gap also translates to improved sensor sensitivity by amplifying optical responses to low analyte levels, as even trace adsorption triggers detectable spectral changes. The observations in this case are critical to developing a label-free analytical technique for monitoring environmental pollutants. </p>
      </sec>
      <sec id="sec3dot5">
        <title>3.5. Mulliken Charge Distribution</title>
        <p><bold>Table 1</bold><bold>.</bold> Mulliken charges for selected elements for phenol molecules adsorbed on Ag18.</p>
        <table-wrap id="tbl1">
          <label>Table 1</label>
          <table>
            <tbody>
              <tr>
                <td>
                  <bold>Atoms</bold>
                </td>
                <td>
                  <bold>Atomic charges (Mulliken) using B3LYP/6-311++G (d, p)</bold>
                </td>
              </tr>
              <tr>
                <td>C1</td>
                <td>0.187</td>
              </tr>
              <tr>
                <td>C2</td>
                <td>0.161</td>
              </tr>
              <tr>
                <td>C3</td>
                <td>0.159</td>
              </tr>
              <tr>
                <td>C4</td>
                <td>0.158</td>
              </tr>
              <tr>
                <td>C5</td>
                <td>0.168</td>
              </tr>
              <tr>
                <td>C6</td>
                <td>0.179</td>
              </tr>
              <tr>
                <td>C7</td>
                <td>0.157</td>
              </tr>
              <tr>
                <td>C8</td>
                <td>0.148</td>
              </tr>
              <tr>
                <td>C9</td>
                <td>0.166</td>
              </tr>
              <tr>
                <td>Ag1</td>
                <td>0.184</td>
              </tr>
              <tr>
                <td>Ag2</td>
                <td>0.182</td>
              </tr>
              <tr>
                <td>Ag3</td>
                <td>0.165</td>
              </tr>
              <tr>
                <td>Ag4</td>
                <td>0.158</td>
              </tr>
              <tr>
                <td>Ag5</td>
                <td>0.108</td>
              </tr>
              <tr>
                <td>Ag6</td>
                <td>−0.215</td>
              </tr>
              <tr>
                <td>Ag7</td>
                <td>−0.201</td>
              </tr>
              <tr>
                <td>Ag8</td>
                <td>−0.177</td>
              </tr>
              <tr>
                <td>Ag9</td>
                <td>−0.021</td>
              </tr>
              <tr>
                <td>O</td>
                <td>−0.628</td>
              </tr>
              <tr>
                <td>H1</td>
                <td>0.147</td>
              </tr>
              <tr>
                <td>H2</td>
                <td>0.148</td>
              </tr>
              <tr>
                <td>H3</td>
                <td>0.138</td>
              </tr>
              <tr>
                <td>H4</td>
                <td>0.175</td>
              </tr>
              <tr>
                <td>H5</td>
                <td>0.179</td>
              </tr>
              <tr>
                <td>H6</td>
                <td>0.165</td>
              </tr>
              <tr>
                <td>H7</td>
                <td>0.197</td>
              </tr>
            </tbody>
          </table>
        </table-wrap>
        <p>The interaction between silver and phenols was also explained with the help of atomic charge analysis. [<xref ref-type="bibr" rid="B39">39</xref>] Notes that the Mulliken charge is directly related to the vibrational properties of the molecule and also quantifies how the electronic structure charges under atomic displacement. Therefore, using the charge distribution, it is possible to underscore the chemical bonds present in the molecule. <bold>Table 1</bold> shows the Mulliken charges of some of the carbon, hydrogen, and oxygen atoms for phenols and those of silver atoms during the adsorption process at a specific level of theory. </p>
        <p>All the Carbon and hydrogen atoms in the molecule have positive charges, while some silver atoms and oxygen show negative charges, with oxygen being the most electronegative. <xref ref-type="fig" rid="fig7">Figure 7</xref><xref ref-type="fig" rid="fig7">Figure 7</xref> shows a summary of the charge distribution.</p>
        <fig id="fig7">
          <label>Figure 7</label>
          <graphic xlink:href="https://html.scirp.org/file/1114876-rId19.jpeg?20260318023948" />
        </fig>
        <p><xref ref-type="fig" rid="fig7">Figure 7</xref><bold>.</bold> Mulliken charge distribution for Phenols adsorbed on silver nanocluster.</p>
        <p>The Mulliken charge distribution shows that oxygen is the most electronegative atom, giving it the highest tendency to attract and bond to the electropositive silver during the adsorption process. Therefore, functional groups with an oxygen molecule will play an important role in defining the interaction between silver and oxygen during the adsorption process. </p>
      </sec>
    </sec>
    <sec id="sec4">
      <title>4. Conclusion</title>
      <p>In this work, density functional theory was employed as a feasible approach to the rather expensive and time-consuming experimental procedures for label-free detection of phenol contaminants. The DFT approach helped to ascertain the optical properties, such as localized surface plasmon resonance and surface-enhanced Raman scattering behavior of silver nanoparticles in trace detecting phenols within the environment. The optical properties were computationally determined based on the localized surface plasmon band, Raman frequencies, and the changes in band gap energies. The Mulliken charge analysis also showed that oxygen is the most electronegative element that would significantly participate in the adsorption process through relevant functional groups. The results showed that it is possible to leverage the capability of DFT to demonstrate the place of silver nanoparticles and nanotechnology in general for environmental monitoring of pollutants.</p>
    </sec>
  </body>
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